# Nash bargaining solution textbook treatment

I'm looking for some reference that treats the solution that Nash gave to the bargaining problem in which two parties must share the surplus derived from engaging in a cooperative relationship. Following Wikipedia, the solution proposed by Nash meets: 1. Invariant to affine transformations or Invariant to equivalent utility representations. 2. Pareto optimality. 3. Independence of irrelevant alternatives. 4. Symmetry.

Resulting from that Nash says that optimally both parties must maximize the so called Nash product: $$(u(x)-u(d))(v(y)-v(d))$$ by choosing $$(x,y)$$. I'd like to understand a bit more those concepts (as well as "resource monotonicity") not need to be in a very depth manner, so an intermediate textbook treatment of this would suffice for my purposes. Then I'd be grateful if you may provide me some reference. (I have basic knowledge in non-cooperative game theory, and basic mathematical economics tools).

Thanks.

• Have you looked at Nash's original paper? It is quite readable. Jul 3, 2021 at 6:58

Almost all textbooks on game theory include a part on cooperative game theory and therefore also treat Nash bargaining. A random sample ($$n=3$$) from my shelf produced this one, this one, and this one.